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17068920417025 = 5219215722772
BaseRepresentation
bin1111100001100010101011…
…1100000010101100000001
32020102202212102010011122121
43320120222330002230001
54214124122111321100
6100145204230204241
73411121521445111
oct370305274025401
966382772104577
1017068920417025
1154909856537a4
121ab80a2ab3681
1396a7913489a9
144301d6835041
151e90060a151a
hexf862af02b01

17068920417025 has 81 divisors (see below), whose sum is σ = 22562702697339. Its totient is φ = 12807642706560.

The previous prime is 17068920416993. The next prime is 17068920417041. The reversal of 17068920417025 is 52071402986071.

The square root of 17068920417025 is 4131455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 16978297743729 + 90622673296 = 4120473^2 + 301036^2 .

It is not a de Polignac number, because 17068920417025 - 25 = 17068920416993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61620651187 + ... + 61620651463.

Almost surely, 217068920417025 is an apocalyptic number.

17068920417025 is the 4131455-th square number.

17068920417025 is the 2065728-th centered octagonal number.

It is an amenable number.

17068920417025 is a deficient number, since it is larger than the sum of its proper divisors (5493782280314).

17068920417025 is an frugal number, since it uses more digits than its factorization.

17068920417025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 17068920417025 in words is "seventeen trillion, sixty-eight billion, nine hundred twenty million, four hundred seventeen thousand, twenty-five".

Divisors: 1 5 19 25 95 157 277 361 475 785 1385 1805 2983 3925 5263 6925 9025 14915 24649 26315 43489 56677 74575 76729 99997 123245 131575 217445 283385 383645 468331 499985 616225 826291 1087225 1416925 1457851 1918225 2341655 2499925 4131455 6827773 7289255 8898289 11708275 12046453 15699529 20657275 27699169 34138865 36446275 44491445 60232265 78497645 129727687 138495845 170694325 222457225 228882607 301161325 392488225 648638435 692479225 1144413035 1891293121 2464826053 3243192175 4348769533 5722065175 9456465605 12324130265 21743847665 35934569299 47282328025 61620651325 108719238325 179672846495 682756816681 898364232475 3413784083405 17068920417025